Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type. In particular, we obtain generating functions, dual...

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Bibliographic Details
Main Authors: Patrick Desrosiers, Martin Hallnäs
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.049